Symmetry and Supersymmetry in Nuclear Pairing: Exact Solutions
Abstract
Pairing plays a crucial role in nuclear spectra and attempts to describe it has a long history in nuclear physics. The limiting case in which all single particle states are degenerate, but with different s-wave pairing strengths was only recently solved. In this strong coupling limit the nuclear pairing Hamiltonian also exhibits a supersymmetry. Another solution away from those limits, namely two non-degenerate single particle states with different pairing strengths, was also given. In this contribution these developments are summarized and difficulties with possible generalizations to more single particle states and d-wave pairing are discussed.
Keywords
Cite
@article{arxiv.1007.1180,
title = {Symmetry and Supersymmetry in Nuclear Pairing: Exact Solutions},
author = {A. B. Balantekin and Y. Pehlivan},
journal= {arXiv preprint arXiv:1007.1180},
year = {2011}
}
Comments
6 pages of LATEX, to be published in the Proceedings of the "10th Int. Spring Seminar on Nuclear Physics: New Quests in Nuclear Structure", Vietri Sul Mare, May 21-25, 2010